65353 has 2 divisors, whose sum is σ = 65354. Its totient is φ = 65352.

The previous prime is 65327. The next prime is 65357. The reversal of 65353 is 35356.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 1849 = 252^2 + 43^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65353 is a prime.

65353 is a lucky number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (65357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32676 + 32677.

It is an arithmetic number, because the mean of its divisors is an integer number (32677).

2⁶⁵³⁵³ is an apocalyptic number.

It is an amenable number.

65353 is a deficient number, since it is larger than the sum of its proper divisors (1).

65353 is an equidigital number, since it uses as much as digits as its factorization.

65353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1350, while the sum is 22.

The square root of 65353 is about 255.6423282635. The cubic root of 65353 is about 40.2799116675.

The spelling of 65353 in words is "sixty-five thousand, three hundred fifty-three".